In this paper, we focus on super stability.
This concept was introduced by Connelly [1]} in 1982 and it is currently the only general sufficient condition for global rigidity of tensegrities.
Roughly speaking, a tensegrity becomes super stable if the point configuration is the unique minimizer of a convex harmonic potential function, and hence it has an advantage of being robust with respect to perturbations. Such an advantage has been well appreciated and used in the design of new tensegrities in structural engineering, see, e.g.,[2]}, [3]}. However, unlike the recent rapid development of the global rigidity theory of bar-joint frameworks (see, e.g., [4]}), little mathematical progress has been made for the combinatorics of tensegrities.
